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Finding the Fourth Proportional to 455.80, 629.24 and 316.16

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Solution

The fourth proportional to 455.80, 629.24 and 316.16 is: 436.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.80 : 629.24 = 316.16 : x
  2. Step 2: Convert to fraction form
    455.80/629.24 = 316.16/x
  3. Step 3: Cross multiply
    455.80x = 629.24 × 316.16
  4. Step 4: Simplify right side
    455.80x = 198,940.52
  5. Step 5: Solve for x
    x = 198,940.52/455.80
  6. Step 6: Final answer
    x = 436.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.